Cargando…

Pseudo null growth model and its classifications based on generalized vortex filament equation

The pseudo null growth model in Minkowski 3-space is shaped by evolving a pseudo null curve as denoted direction, growth velocity, and stretch in this paper. Meanwhile, the idea of the generalized Hasimoto surfaces is proposed based on the vortex filament equation. The conditions and geometric struc...

Descripción completa

Detalles Bibliográficos
Autores principales: Qian, Jinhua, Guo, Yao, Kim, Young Ho
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9678685/
https://www.ncbi.nlm.nih.gov/pubmed/36425414
http://dx.doi.org/10.1016/j.heliyon.2022.e11600
_version_ 1784834043008778240
author Qian, Jinhua
Guo, Yao
Kim, Young Ho
author_facet Qian, Jinhua
Guo, Yao
Kim, Young Ho
author_sort Qian, Jinhua
collection PubMed
description The pseudo null growth model in Minkowski 3-space is shaped by evolving a pseudo null curve as denoted direction, growth velocity, and stretch in this paper. Meanwhile, the idea of the generalized Hasimoto surfaces is proposed based on the vortex filament equation. The conditions and geometric structures of the generalized Hasimoto pseudo null growth surfaces are investigated accompanied by some typical examples.
format Online
Article
Text
id pubmed-9678685
institution National Center for Biotechnology Information
language English
publishDate 2022
publisher Elsevier
record_format MEDLINE/PubMed
spelling pubmed-96786852022-11-23 Pseudo null growth model and its classifications based on generalized vortex filament equation Qian, Jinhua Guo, Yao Kim, Young Ho Heliyon Research Article The pseudo null growth model in Minkowski 3-space is shaped by evolving a pseudo null curve as denoted direction, growth velocity, and stretch in this paper. Meanwhile, the idea of the generalized Hasimoto surfaces is proposed based on the vortex filament equation. The conditions and geometric structures of the generalized Hasimoto pseudo null growth surfaces are investigated accompanied by some typical examples. Elsevier 2022-11-15 /pmc/articles/PMC9678685/ /pubmed/36425414 http://dx.doi.org/10.1016/j.heliyon.2022.e11600 Text en © 2022 The Author(s) https://creativecommons.org/licenses/by-nc-nd/4.0/This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
spellingShingle Research Article
Qian, Jinhua
Guo, Yao
Kim, Young Ho
Pseudo null growth model and its classifications based on generalized vortex filament equation
title Pseudo null growth model and its classifications based on generalized vortex filament equation
title_full Pseudo null growth model and its classifications based on generalized vortex filament equation
title_fullStr Pseudo null growth model and its classifications based on generalized vortex filament equation
title_full_unstemmed Pseudo null growth model and its classifications based on generalized vortex filament equation
title_short Pseudo null growth model and its classifications based on generalized vortex filament equation
title_sort pseudo null growth model and its classifications based on generalized vortex filament equation
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9678685/
https://www.ncbi.nlm.nih.gov/pubmed/36425414
http://dx.doi.org/10.1016/j.heliyon.2022.e11600
work_keys_str_mv AT qianjinhua pseudonullgrowthmodelanditsclassificationsbasedongeneralizedvortexfilamentequation
AT guoyao pseudonullgrowthmodelanditsclassificationsbasedongeneralizedvortexfilamentequation
AT kimyoungho pseudonullgrowthmodelanditsclassificationsbasedongeneralizedvortexfilamentequation